Analysis of xx-ph-01315354-13_12-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
Details
Appendix: Full HDP Chains

Original Sudoku

level: deep

position: 98.76.5..7..5..9...6...4...8..9..3....9.3..2.....1...55......83.7.3...59......7.. initial

Autosolve

position: 98.76.5..7..5..9...65.94...8..9..3....9.3..2.....1..955......83.7.3...59......7.. autosolve

Pair Reduction Variants

Pair Reduction Analysis

See Appendix: Full HDP Chains for full list of HDP chains.

Pair Reduction

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Pair Reduction

Time used: 0:00:48.752289

The following important HDP chains were detected:

* DIS # E9: 2,8 # C9: 2,8 => CTR => C9: 1,3,4,6
* CNT   1 HDP CHAINS /  99 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Constraint Pair Analysis

Time used: 0:00:00.000019

List of important HDP chains detected for E4,E7: 7..:

* DIS # E4: 7 # D6: 2 => CTR => D6: 4,6
* DIS # E4: 7 + D6: 4,6 # G7: 2,4 => CTR => G7: 6
* DIS # E4: 7 + D6: 4,6 + G7: 6 => CTR => E4: 2,4,5
* STA E4: 2,4,5
* CNT   3 HDP CHAINS /  11 HYP OPENED

List of important HDP chains detected for E7,F7: 7..:

* DIS # F7: 7 # D6: 2 => CTR => D6: 4,6
* DIS # F7: 7 + D6: 4,6 # G7: 2,4 => CTR => G7: 6
* DIS # F7: 7 + D6: 4,6 + G7: 6 => CTR => F7: 1,2,6,9
* STA F7: 1,2,6,9
* CNT   3 HDP CHAINS /  11 HYP OPENED

List of important HDP chains detected for B5,F5: 5..:

* DIS # F5: 5 # I3: 1,2 => CTR => I3: 8
* DIS # F5: 5 + I3: 8 # C4: 1,4 => CTR => C4: 2,6,7
* CNT   2 HDP CHAINS /  47 HYP OPENED

List of important HDP chains detected for B4,B5: 5..:

* DIS # B4: 5 # I3: 1,2 => CTR => I3: 8
* DIS # B4: 5 + I3: 8 # C4: 1,4 => CTR => C4: 2,6,7
* CNT   2 HDP CHAINS /  47 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

This sudoku is deep. Here is some information that may be helpful on how to proceed.

Positions

`98.76.5..7..5..9...6...4...8..9..3....9.3..2.....1...55......83.7.3...59......7..`	initial
`98.76.5..7..5..9...65.94...8..9..3....9.3..2.....1..955......83.7.3...59......7..`	autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
E2: 2,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,F2: 3.. / F1 = 3  =>  2 pairs (_) / F2 = 3  =>  2 pairs (_)
A3,H3: 3.. / A3 = 3  =>  2 pairs (_) / H3 = 3  =>  3 pairs (_)
B4,B5: 5.. / B4 = 5  =>  3 pairs (_) / B5 = 5  =>  1 pairs (_)
E9,F9: 5.. / E9 = 5  =>  1 pairs (_) / F9 = 5  =>  1 pairs (_)
B5,F5: 5.. / B5 = 5  =>  1 pairs (_) / F5 = 5  =>  3 pairs (_)
E4,E9: 5.. / E4 = 5  =>  1 pairs (_) / E9 = 5  =>  1 pairs (_)
H2,I2: 6.. / H2 = 6  =>  2 pairs (_) / I2 = 6  =>  2 pairs (_)
H3,I3: 7.. / H3 = 7  =>  1 pairs (_) / I3 = 7  =>  2 pairs (_)
C4,C6: 7.. / C4 = 7  =>  2 pairs (_) / C6 = 7  =>  1 pairs (_)
E7,F7: 7.. / E7 = 7  =>  1 pairs (_) / F7 = 7  =>  7 pairs (_)
F5,I5: 7.. / F5 = 7  =>  1 pairs (_) / I5 = 7  =>  2 pairs (_)
C6,F6: 7.. / C6 = 7  =>  1 pairs (_) / F6 = 7  =>  2 pairs (_)
E4,E7: 7.. / E4 = 7  =>  7 pairs (_) / E7 = 7  =>  1 pairs (_)
H3,H4: 7.. / H3 = 7  =>  1 pairs (_) / H4 = 7  =>  2 pairs (_)
C8,C9: 8.. / C8 = 8  =>  2 pairs (_) / C9 = 8  =>  1 pairs (_)
B7,B9: 9.. / B7 = 9  =>  1 pairs (_) / B9 = 9  =>  1 pairs (_)
F7,F9: 9.. / F7 = 9  =>  1 pairs (_) / F9 = 9  =>  1 pairs (_)
B7,F7: 9.. / B7 = 9  =>  1 pairs (_) / F7 = 9  =>  1 pairs (_)
B9,F9: 9.. / B9 = 9  =>  1 pairs (_) / F9 = 9  =>  1 pairs (_)
* DURATION: 0:00:14.599304  START: 11:52:57.329761  END: 11:53:11.929065 2021-01-13
* CP COUNT: (19)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E4,E7: 7.. / E4 = 7 ==>  0 pairs (X) / E7 = 7  =>  1 pairs (_)
E7,F7: 7.. / E7 = 7  =>  1 pairs (_) / F7 = 7 ==>  0 pairs (X)
A3,H3: 3.. / A3 = 3 ==>  2 pairs (_) / H3 = 3 ==>  3 pairs (_)
B5,F5: 5.. / B5 = 5 ==>  1 pairs (_) / F5 = 5 ==>  4 pairs (_)
B4,B5: 5.. / B4 = 5 ==>  4 pairs (_) / B5 = 5 ==>  1 pairs (_)
H2,I2: 6.. / H2 = 6 ==>  2 pairs (_) / I2 = 6 ==>  2 pairs (_)
F1,F2: 3.. / F1 = 3 ==>  2 pairs (_) / F2 = 3 ==>  2 pairs (_)
C8,C9: 8.. / C8 = 8 ==>  2 pairs (_) / C9 = 8 ==>  1 pairs (_)
H3,H4: 7.. / H3 = 7 ==>  1 pairs (_) / H4 = 7 ==>  2 pairs (_)
C6,F6: 7.. / C6 = 7 ==>  1 pairs (_) / F6 = 7 ==>  2 pairs (_)
F5,I5: 7.. / F5 = 7 ==>  1 pairs (_) / I5 = 7 ==>  2 pairs (_)
C4,C6: 7.. / C4 = 7 ==>  2 pairs (_) / C6 = 7 ==>  1 pairs (_)
H3,I3: 7.. / H3 = 7 ==>  1 pairs (_) / I3 = 7 ==>  2 pairs (_)
B9,F9: 9.. / B9 = 9 ==>  1 pairs (_) / F9 = 9 ==>  1 pairs (_)
B7,F7: 9.. / B7 = 9 ==>  1 pairs (_) / F7 = 9 ==>  1 pairs (_)
F7,F9: 9.. / F7 = 9 ==>  1 pairs (_) / F9 = 9 ==>  1 pairs (_)
B7,B9: 9.. / B7 = 9 ==>  1 pairs (_) / B9 = 9 ==>  1 pairs (_)
E4,E9: 5.. / E4 = 5 ==>  1 pairs (_) / E9 = 5 ==>  1 pairs (_)
E9,F9: 5.. / E9 = 5 ==>  1 pairs (_) / F9 = 5 ==>  1 pairs (_)
* DURATION: 0:03:36.318208  START: 11:54:06.466763  END: 11:57:42.784971 2021-01-13
* REASONING E4,E7: 7..
* DIS # E4: 7 # D6: 2 => CTR => D6: 4,6
* DIS # E4: 7 + D6: 4,6 # G7: 2,4 => CTR => G7: 6
* DIS # E4: 7 + D6: 4,6 + G7: 6 => CTR => E4: 2,4,5
* STA E4: 2,4,5
* CNT   3 HDP CHAINS /  11 HYP OPENED
* REASONING E7,F7: 7..
* DIS # F7: 7 # D6: 2 => CTR => D6: 4,6
* DIS # F7: 7 + D6: 4,6 # G7: 2,4 => CTR => G7: 6
* DIS # F7: 7 + D6: 4,6 + G7: 6 => CTR => F7: 1,2,6,9
* STA F7: 1,2,6,9
* CNT   3 HDP CHAINS /  11 HYP OPENED
* REASONING B5,F5: 5..
* DIS # F5: 5 # I3: 1,2 => CTR => I3: 8
* DIS # F5: 5 + I3: 8 # C4: 1,4 => CTR => C4: 2,6,7
* CNT   2 HDP CHAINS /  47 HYP OPENED
* REASONING B4,B5: 5..
* DIS # B4: 5 # I3: 1,2 => CTR => I3: 8
* DIS # B4: 5 + I3: 8 # C4: 1,4 => CTR => C4: 2,6,7
* CNT   2 HDP CHAINS /  47 HYP OPENED
* DCP COUNT: (19)
* CLUE FOUND

Header Info

1315354;13_12;GP;26;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # F2: 2,8 => UNS
* INC # D3: 2,8 => UNS
* INC # I2: 2,8 => UNS
* INC # I2: 1,4,6 => UNS
* INC # E8: 2,8 => UNS
* INC # E9: 2,8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # F2: 2,8 => UNS
* INC # D3: 2,8 => UNS
* INC # I2: 2,8 => UNS
* INC # I2: 1,4,6 => UNS
* INC # E8: 2,8 => UNS
* INC # E9: 2,8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F2: 2,8 => UNS
* INC # D3: 2,8 => UNS
* INC # I2: 2,8 => UNS
* INC # I2: 1,4,6 => UNS
* INC # E8: 2,8 => UNS
* INC # E9: 2,8 => UNS
* INC # F2: 2,8 # A6: 2,3 => UNS
* INC # F2: 2,8 # A9: 2,3 => UNS
* INC # F2: 2,8 # E8: 2,8 => UNS
* INC # F2: 2,8 # E9: 2,8 => UNS
* INC # F2: 2,8 # F6: 2,8 => UNS
* INC # F2: 2,8 # F8: 2,8 => UNS
* INC # F2: 2,8 # F9: 2,8 => UNS
* INC # F2: 2,8 # I1: 1,4 => UNS
* INC # F2: 2,8 # H2: 1,4 => UNS
* INC # F2: 2,8 # I2: 1,4 => UNS
* INC # F2: 2,8 # C1: 1,4 => UNS
* INC # F2: 2,8 # C1: 2 => UNS
* INC # F2: 2,8 # H4: 1,4 => UNS
* INC # F2: 2,8 # H9: 1,4 => UNS
* INC # F2: 2,8 # I3: 2,8 => UNS
* INC # F2: 2,8 # I3: 7 => UNS
* INC # F2: 2,8 => UNS
* INC # D3: 2,8 # C1: 1,3 => UNS
* INC # D3: 2,8 # H1: 1,3 => UNS
* INC # D3: 2,8 # I2: 2,8 => UNS
* INC # D3: 2,8 # I2: 1,4,6 => UNS
* INC # D3: 2,8 # E8: 2,8 => UNS
* INC # D3: 2,8 # E9: 2,8 => UNS
* INC # D3: 2,8 # B2: 1,3 => UNS
* INC # D3: 2,8 # C2: 1,3 => UNS
* INC # D3: 2,8 # H2: 1,3 => UNS
* INC # D3: 2,8 # G3: 2,8 => UNS
* INC # D3: 2,8 # I3: 2,8 => UNS
* INC # D3: 2,8 # D6: 2,8 => UNS
* INC # D3: 2,8 # D9: 2,8 => UNS
* INC # D3: 2,8 => UNS
* INC # I2: 2,8 # D3: 2,8 => UNS
* INC # I2: 2,8 # D3: 1 => UNS
* INC # I2: 2,8 # E8: 2,8 => UNS
* INC # I2: 2,8 # E9: 2,8 => UNS
* INC # I2: 2,8 # F1: 1,3 => UNS
* INC # I2: 2,8 # F1: 2 => UNS
* INC # I2: 2,8 # B2: 1,3 => UNS
* INC # I2: 2,8 # C2: 1,3 => UNS
* INC # I2: 2,8 # G3: 2,8 => UNS
* INC # I2: 2,8 # I3: 2,8 => UNS
* INC # I2: 2,8 # G7: 1,4 => UNS
* INC # I2: 2,8 # G8: 1,4 => UNS
* INC # I2: 2,8 # I9: 1,4 => UNS
* INC # I2: 2,8 # A9: 1,4 => UNS
* INC # I2: 2,8 # B9: 1,4 => UNS
* INC # I2: 2,8 # C9: 1,4 => UNS
* INC # I2: 2,8 # D9: 1,4 => UNS
* INC # I2: 2,8 # H1: 1,4 => UNS
* INC # I2: 2,8 # H4: 1,4 => UNS
* INC # I2: 2,8 => UNS
* INC # I2: 1,4,6 # F2: 2,8 => UNS
* INC # I2: 1,4,6 # F2: 1,3 => UNS
* INC # I2: 1,4,6 # E8: 2,8 => UNS
* INC # I2: 1,4,6 # E9: 2,8 => UNS
* INC # I2: 1,4,6 # F1: 1,2 => UNS
* INC # I2: 1,4,6 # F2: 1,2 => UNS
* INC # I2: 1,4,6 # A3: 1,2 => UNS
* INC # I2: 1,4,6 # G3: 1,2 => UNS
* INC # I2: 1,4,6 # I3: 1,2 => UNS
* INC # I2: 1,4,6 # D7: 1,2 => UNS
* INC # I2: 1,4,6 # D9: 1,2 => UNS
* INC # I2: 1,4,6 => UNS
* INC # E8: 2,8 # F2: 2,8 => UNS
* INC # E8: 2,8 # D3: 2,8 => UNS
* INC # E8: 2,8 # I2: 2,8 => UNS
* INC # E8: 2,8 # I2: 1,4,6 => UNS
* INC # E8: 2,8 # E4: 4,7 => UNS
* INC # E8: 2,8 # E4: 5 => UNS
* INC # E8: 2,8 # F8: 2,8 => UNS
* INC # E8: 2,8 # D9: 2,8 => UNS
* INC # E8: 2,8 # F9: 2,8 => UNS
* INC # E8: 2,8 # C8: 2,8 => UNS
* INC # E8: 2,8 # C8: 1,4,6 => UNS
* INC # E8: 2,8 # E4: 4,5 => UNS
* INC # E8: 2,8 # E4: 7 => UNS
* INC # E8: 2,8 => UNS
* INC # E9: 2,8 # F2: 2,8 => UNS
* INC # E9: 2,8 # D3: 2,8 => UNS
* INC # E9: 2,8 # I2: 2,8 => UNS
* INC # E9: 2,8 # I2: 1,4,6 => UNS
* INC # E9: 2,8 # F8: 2,8 => UNS
* INC # E9: 2,8 # D9: 2,8 => UNS
* DIS # E9: 2,8 # C9: 2,8 => CTR => C9: 1,3,4,6
* INC # E9: 2,8 + C9: 1,3,4,6 # D9: 2,8 => UNS
* INC # E9: 2,8 + C9: 1,3,4,6 # D9: 1,6 => UNS
* INC # E9: 2,8 + C9: 1,3,4,6 # F2: 2,8 => UNS
* INC # E9: 2,8 + C9: 1,3,4,6 # D3: 2,8 => UNS
* INC # E9: 2,8 + C9: 1,3,4,6 # I2: 2,8 => UNS
* INC # E9: 2,8 + C9: 1,3,4,6 # I2: 1,4,6 => UNS
* INC # E9: 2,8 + C9: 1,3,4,6 # D9: 2,8 => UNS
* INC # E9: 2,8 + C9: 1,3,4,6 # D9: 1,6 => UNS
* INC # E9: 2,8 + C9: 1,3,4,6 => UNS
* CNT  99 HDP CHAINS /  99 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E4,E7: 7..:

* INC # E4: 7 # F1: 1,2 => UNS
* INC # E4: 7 # F2: 1,2 => UNS
* INC # E4: 7 # I1: 1,2 => UNS
* INC # E4: 7 # I2: 1,2 => UNS
* INC # E4: 7 # G7: 1,2 => UNS
* INC # E4: 7 # G8: 1,2 => UNS
* INC # E4: 7 # D6: 4,6 => UNS
* DIS # E4: 7 # D6: 2 => CTR => D6: 4,6
* DIS # E4: 7 + D6: 4,6 # G7: 2,4 => CTR => G7: 6
* DIS # E4: 7 + D6: 4,6 + G7: 6 => CTR => E4: 2,4,5
* INC E4: 2,4,5 # E7: 7 => UNS
* STA E4: 2,4,5
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for E7,F7: 7..:

* INC # F7: 7 # F1: 1,2 => UNS
* INC # F7: 7 # F2: 1,2 => UNS
* INC # F7: 7 # I1: 1,2 => UNS
* INC # F7: 7 # I2: 1,2 => UNS
* INC # F7: 7 # G7: 1,2 => UNS
* INC # F7: 7 # G8: 1,2 => UNS
* INC # F7: 7 # D6: 4,6 => UNS
* DIS # F7: 7 # D6: 2 => CTR => D6: 4,6
* DIS # F7: 7 + D6: 4,6 # G7: 2,4 => CTR => G7: 6
* DIS # F7: 7 + D6: 4,6 + G7: 6 => CTR => F7: 1,2,6,9
* INC F7: 1,2,6,9 # E7: 7 => UNS
* STA F7: 1,2,6,9
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for A3,H3: 3..:

* INC # H3: 3 # C1: 1,2 => UNS
* INC # H3: 3 # B2: 1,2 => UNS
* INC # H3: 3 # C2: 1,2 => UNS
* INC # H3: 3 # D3: 1,2 => UNS
* INC # H3: 3 # G3: 1,2 => UNS
* INC # H3: 3 # A8: 1,2 => UNS
* INC # H3: 3 # A9: 1,2 => UNS
* INC # H3: 3 # F2: 2,8 => UNS
* INC # H3: 3 # D3: 2,8 => UNS
* INC # H3: 3 # I2: 2,8 => UNS
* INC # H3: 3 # I2: 1,4,6 => UNS
* INC # H3: 3 # E8: 2,8 => UNS
* INC # H3: 3 # E9: 2,8 => UNS
* INC # H3: 3 # I1: 1,4 => UNS
* INC # H3: 3 # H2: 1,4 => UNS
* INC # H3: 3 # I2: 1,4 => UNS
* INC # H3: 3 # C1: 1,4 => UNS
* INC # H3: 3 # C1: 2,3 => UNS
* INC # H3: 3 # H9: 1,4 => UNS
* INC # H3: 3 # H9: 6 => UNS
* INC # H3: 3 => UNS
* INC # A3: 3 # F2: 2,8 => UNS
* INC # A3: 3 # D3: 2,8 => UNS
* INC # A3: 3 # I2: 2,8 => UNS
* INC # A3: 3 # I2: 1,4,6 => UNS
* INC # A3: 3 # E8: 2,8 => UNS
* INC # A3: 3 # E9: 2,8 => UNS
* INC # A3: 3 # I3: 1,7 => UNS
* INC # A3: 3 # I3: 2,8 => UNS
* INC # A3: 3 # H4: 1,7 => UNS
* INC # A3: 3 # H4: 4,6 => UNS
* INC # A3: 3 => UNS
* CNT  32 HDP CHAINS /  32 HYP OPENED

Full list of HDP chains traversed for B5,F5: 5..:

* INC # F5: 5 # F2: 2,8 => UNS
* INC # F5: 5 # D3: 2,8 => UNS
* INC # F5: 5 # I2: 2,8 => UNS
* INC # F5: 5 # I2: 1,4,6 => UNS
* INC # F5: 5 # E8: 2,8 => UNS
* INC # F5: 5 # E8: 4 => UNS
* INC # F5: 5 # I1: 1,2 => UNS
* INC # F5: 5 # I2: 1,2 => UNS
* DIS # F5: 5 # I3: 1,2 => CTR => I3: 8
* INC # F5: 5 + I3: 8 # G7: 1,2 => UNS
* INC # F5: 5 + I3: 8 # G8: 1,2 => UNS
* INC # F5: 5 + I3: 8 # I1: 1,2 => UNS
* INC # F5: 5 + I3: 8 # I2: 1,2 => UNS
* INC # F5: 5 + I3: 8 # G7: 1,2 => UNS
* INC # F5: 5 + I3: 8 # G8: 1,2 => UNS
* DIS # F5: 5 + I3: 8 # C4: 1,4 => CTR => C4: 2,6,7
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # A5: 1,4 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # A5: 1,4 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # A5: 6 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # B2: 1,4 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # B7: 1,4 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # B9: 1,4 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # F2: 2,8 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # F2: 1,3 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # E8: 2,8 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # E8: 4 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # F1: 1,2 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # F2: 1,2 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # D7: 1,2 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # D9: 1,2 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # I1: 1,2 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # I2: 1,2 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # G7: 1,2 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # G8: 1,2 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # A5: 1,4 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # A5: 6 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # B2: 1,4 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # B7: 1,4 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 # B9: 1,4 => UNS
* INC # F5: 5 + I3: 8 + C4: 2,6,7 => UNS
* INC # B5: 5 # F2: 2,8 => UNS
* INC # B5: 5 # D3: 2,8 => UNS
* INC # B5: 5 # I2: 2,8 => UNS
* INC # B5: 5 # I2: 1,4,6 => UNS
* INC # B5: 5 # E8: 2,8 => UNS
* INC # B5: 5 # E9: 2,8 => UNS
* INC # B5: 5 => UNS
* CNT  47 HDP CHAINS /  47 HYP OPENED

Full list of HDP chains traversed for B4,B5: 5..:

* INC # B4: 5 # F2: 2,8 => UNS
* INC # B4: 5 # D3: 2,8 => UNS
* INC # B4: 5 # I2: 2,8 => UNS
* INC # B4: 5 # I2: 1,4,6 => UNS
* INC # B4: 5 # E8: 2,8 => UNS
* INC # B4: 5 # E8: 4 => UNS
* INC # B4: 5 # I1: 1,2 => UNS
* INC # B4: 5 # I2: 1,2 => UNS
* DIS # B4: 5 # I3: 1,2 => CTR => I3: 8
* INC # B4: 5 + I3: 8 # G7: 1,2 => UNS
* INC # B4: 5 + I3: 8 # G8: 1,2 => UNS
* INC # B4: 5 + I3: 8 # I1: 1,2 => UNS
* INC # B4: 5 + I3: 8 # I2: 1,2 => UNS
* INC # B4: 5 + I3: 8 # G7: 1,2 => UNS
* INC # B4: 5 + I3: 8 # G8: 1,2 => UNS
* DIS # B4: 5 + I3: 8 # C4: 1,4 => CTR => C4: 2,6,7
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # A5: 1,4 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # A5: 1,4 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # A5: 6 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # B2: 1,4 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # B7: 1,4 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # B9: 1,4 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # F2: 2,8 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # F2: 1,3 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # E8: 2,8 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # E8: 4 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # F1: 1,2 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # F2: 1,2 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # D7: 1,2 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # D9: 1,2 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # I1: 1,2 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # I2: 1,2 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # G7: 1,2 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # G8: 1,2 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # A5: 1,4 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # A5: 6 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # B2: 1,4 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # B7: 1,4 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 # B9: 1,4 => UNS
* INC # B4: 5 + I3: 8 + C4: 2,6,7 => UNS
* INC # B5: 5 # F2: 2,8 => UNS
* INC # B5: 5 # D3: 2,8 => UNS
* INC # B5: 5 # I2: 2,8 => UNS
* INC # B5: 5 # I2: 1,4,6 => UNS
* INC # B5: 5 # E8: 2,8 => UNS
* INC # B5: 5 # E9: 2,8 => UNS
* INC # B5: 5 => UNS
* CNT  47 HDP CHAINS /  47 HYP OPENED

Full list of HDP chains traversed for H2,I2: 6..:

* INC # H2: 6 # F2: 2,8 => UNS
* INC # H2: 6 # D3: 2,8 => UNS
* INC # H2: 6 # I2: 2,8 => UNS
* INC # H2: 6 # I2: 1,4 => UNS
* INC # H2: 6 # E8: 2,8 => UNS
* INC # H2: 6 # E9: 2,8 => UNS
* INC # H2: 6 # G7: 1,4 => UNS
* INC # H2: 6 # G8: 1,4 => UNS
* INC # H2: 6 # I9: 1,4 => UNS
* INC # H2: 6 # A9: 1,4 => UNS
* INC # H2: 6 # B9: 1,4 => UNS
* INC # H2: 6 # C9: 1,4 => UNS
* INC # H2: 6 # D9: 1,4 => UNS
* INC # H2: 6 # H1: 1,4 => UNS
* INC # H2: 6 # H4: 1,4 => UNS
* INC # H2: 6 => UNS
* INC # I2: 6 # F2: 2,8 => UNS
* INC # I2: 6 # F2: 1,3 => UNS
* INC # I2: 6 # E8: 2,8 => UNS
* INC # I2: 6 # E9: 2,8 => UNS
* INC # I2: 6 # F1: 1,2 => UNS
* INC # I2: 6 # F2: 1,2 => UNS
* INC # I2: 6 # A3: 1,2 => UNS
* INC # I2: 6 # G3: 1,2 => UNS
* INC # I2: 6 # I3: 1,2 => UNS
* INC # I2: 6 # D7: 1,2 => UNS
* INC # I2: 6 # D9: 1,2 => UNS
* INC # I2: 6 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for F1,F2: 3..:

* INC # F1: 3 # F2: 2,8 => UNS
* INC # F1: 3 # D3: 2,8 => UNS
* INC # F1: 3 # I2: 2,8 => UNS
* INC # F1: 3 # I2: 1,4,6 => UNS
* INC # F1: 3 # E8: 2,8 => UNS
* INC # F1: 3 # E9: 2,8 => UNS
* INC # F1: 3 # I1: 1,4 => UNS
* INC # F1: 3 # H2: 1,4 => UNS
* INC # F1: 3 # I2: 1,4 => UNS
* INC # F1: 3 # C1: 1,4 => UNS
* INC # F1: 3 # C1: 2 => UNS
* INC # F1: 3 # H4: 1,4 => UNS
* INC # F1: 3 # H9: 1,4 => UNS
* INC # F1: 3 => UNS
* INC # F2: 3 # D3: 1,2 => UNS
* INC # F2: 3 # D3: 8 => UNS
* INC # F2: 3 # C1: 1,2 => UNS
* INC # F2: 3 # I1: 1,2 => UNS
* INC # F2: 3 # F7: 1,2 => UNS
* INC # F2: 3 # F8: 1,2 => UNS
* INC # F2: 3 # F9: 1,2 => UNS
* INC # F2: 3 # D3: 2,8 => UNS
* INC # F2: 3 # D3: 1 => UNS
* INC # F2: 3 # I2: 2,8 => UNS
* INC # F2: 3 # I2: 1,4,6 => UNS
* INC # F2: 3 # E8: 2,8 => UNS
* INC # F2: 3 # E9: 2,8 => UNS
* INC # F2: 3 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for C8,C9: 8..:

* INC # C8: 8 # F2: 2,8 => UNS
* INC # C8: 8 # D3: 2,8 => UNS
* INC # C8: 8 # I2: 2,8 => UNS
* INC # C8: 8 # I2: 1,4,6 => UNS
* INC # C8: 8 # E9: 2,8 => UNS
* INC # C8: 8 # E9: 4,5 => UNS
* INC # C8: 8 # D7: 2,4 => UNS
* INC # C8: 8 # E7: 2,4 => UNS
* INC # C8: 8 # D9: 2,4 => UNS
* INC # C8: 8 # E9: 2,4 => UNS
* INC # C8: 8 # A8: 2,4 => UNS
* INC # C8: 8 # G8: 2,4 => UNS
* INC # C8: 8 # E4: 2,4 => UNS
* INC # C8: 8 # E4: 5,7 => UNS
* INC # C8: 8 => UNS
* INC # C9: 8 # F2: 2,8 => UNS
* INC # C9: 8 # D3: 2,8 => UNS
* INC # C9: 8 # I2: 2,8 => UNS
* INC # C9: 8 # I2: 1,4,6 => UNS
* INC # C9: 8 # E8: 2,8 => UNS
* INC # C9: 8 # E8: 4 => UNS
* INC # C9: 8 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for H3,H4: 7..:

* INC # H4: 7 # F2: 2,8 => UNS
* INC # H4: 7 # D3: 2,8 => UNS
* INC # H4: 7 # I2: 2,8 => UNS
* INC # H4: 7 # I2: 1,4,6 => UNS
* INC # H4: 7 # E8: 2,8 => UNS
* INC # H4: 7 # E9: 2,8 => UNS
* INC # H4: 7 # H1: 1,3 => UNS
* INC # H4: 7 # H2: 1,3 => UNS
* INC # H4: 7 # A3: 1,3 => UNS
* INC # H4: 7 # A3: 2 => UNS
* INC # H4: 7 => UNS
* INC # H3: 7 # F2: 2,8 => UNS
* INC # H3: 7 # D3: 2,8 => UNS
* INC # H3: 7 # I2: 2,8 => UNS
* INC # H3: 7 # I2: 1,4,6 => UNS
* INC # H3: 7 # E8: 2,8 => UNS
* INC # H3: 7 # E9: 2,8 => UNS
* INC # H3: 7 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for C6,F6: 7..:

* INC # F6: 7 # F2: 2,8 => UNS
* INC # F6: 7 # D3: 2,8 => UNS
* INC # F6: 7 # I2: 2,8 => UNS
* INC # F6: 7 # I2: 1,4,6 => UNS
* INC # F6: 7 # E8: 2,8 => UNS
* INC # F6: 7 # E9: 2,8 => UNS
* INC # F6: 7 # I1: 1,2 => UNS
* INC # F6: 7 # I2: 1,2 => UNS
* INC # F6: 7 # I3: 1,2 => UNS
* INC # F6: 7 # D3: 1,2 => UNS
* INC # F6: 7 # D3: 8 => UNS
* INC # F6: 7 # G7: 1,2 => UNS
* INC # F6: 7 # G8: 1,2 => UNS
* INC # F6: 7 => UNS
* INC # C6: 7 # F2: 2,8 => UNS
* INC # C6: 7 # D3: 2,8 => UNS
* INC # C6: 7 # I2: 2,8 => UNS
* INC # C6: 7 # I2: 1,4,6 => UNS
* INC # C6: 7 # E8: 2,8 => UNS
* INC # C6: 7 # E9: 2,8 => UNS
* INC # C6: 7 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for F5,I5: 7..:

* INC # I5: 7 # F2: 2,8 => UNS
* INC # I5: 7 # D3: 2,8 => UNS
* INC # I5: 7 # I2: 2,8 => UNS
* INC # I5: 7 # I2: 1,4,6 => UNS
* INC # I5: 7 # E8: 2,8 => UNS
* INC # I5: 7 # E9: 2,8 => UNS
* INC # I5: 7 # I1: 1,2 => UNS
* INC # I5: 7 # I2: 1,2 => UNS
* INC # I5: 7 # I3: 1,2 => UNS
* INC # I5: 7 # D3: 1,2 => UNS
* INC # I5: 7 # D3: 8 => UNS
* INC # I5: 7 # G7: 1,2 => UNS
* INC # I5: 7 # G8: 1,2 => UNS
* INC # I5: 7 => UNS
* INC # F5: 7 # F2: 2,8 => UNS
* INC # F5: 7 # D3: 2,8 => UNS
* INC # F5: 7 # I2: 2,8 => UNS
* INC # F5: 7 # I2: 1,4,6 => UNS
* INC # F5: 7 # E8: 2,8 => UNS
* INC # F5: 7 # E9: 2,8 => UNS
* INC # F5: 7 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for C4,C6: 7..:

* INC # C4: 7 # F2: 2,8 => UNS
* INC # C4: 7 # D3: 2,8 => UNS
* INC # C4: 7 # I2: 2,8 => UNS
* INC # C4: 7 # I2: 1,4,6 => UNS
* INC # C4: 7 # E8: 2,8 => UNS
* INC # C4: 7 # E9: 2,8 => UNS
* INC # C4: 7 # I1: 1,2 => UNS
* INC # C4: 7 # I2: 1,2 => UNS
* INC # C4: 7 # I3: 1,2 => UNS
* INC # C4: 7 # D3: 1,2 => UNS
* INC # C4: 7 # D3: 8 => UNS
* INC # C4: 7 # G7: 1,2 => UNS
* INC # C4: 7 # G8: 1,2 => UNS
* INC # C4: 7 => UNS
* INC # C6: 7 # F2: 2,8 => UNS
* INC # C6: 7 # D3: 2,8 => UNS
* INC # C6: 7 # I2: 2,8 => UNS
* INC # C6: 7 # I2: 1,4,6 => UNS
* INC # C6: 7 # E8: 2,8 => UNS
* INC # C6: 7 # E9: 2,8 => UNS
* INC # C6: 7 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for H3,I3: 7..:

* INC # I3: 7 # F2: 2,8 => UNS
* INC # I3: 7 # D3: 2,8 => UNS
* INC # I3: 7 # I2: 2,8 => UNS
* INC # I3: 7 # I2: 1,4,6 => UNS
* INC # I3: 7 # E8: 2,8 => UNS
* INC # I3: 7 # E9: 2,8 => UNS
* INC # I3: 7 # H1: 1,3 => UNS
* INC # I3: 7 # H2: 1,3 => UNS
* INC # I3: 7 # A3: 1,3 => UNS
* INC # I3: 7 # A3: 2 => UNS
* INC # I3: 7 => UNS
* INC # H3: 7 # F2: 2,8 => UNS
* INC # H3: 7 # D3: 2,8 => UNS
* INC # H3: 7 # I2: 2,8 => UNS
* INC # H3: 7 # I2: 1,4,6 => UNS
* INC # H3: 7 # E8: 2,8 => UNS
* INC # H3: 7 # E9: 2,8 => UNS
* INC # H3: 7 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for B9,F9: 9..:

* INC # B9: 9 # F2: 2,8 => UNS
* INC # B9: 9 # D3: 2,8 => UNS
* INC # B9: 9 # I2: 2,8 => UNS
* INC # B9: 9 # I2: 1,4,6 => UNS
* INC # B9: 9 # E8: 2,8 => UNS
* INC # B9: 9 # E9: 2,8 => UNS
* INC # B9: 9 => UNS
* INC # F9: 9 # F2: 2,8 => UNS
* INC # F9: 9 # D3: 2,8 => UNS
* INC # F9: 9 # I2: 2,8 => UNS
* INC # F9: 9 # I2: 1,4,6 => UNS
* INC # F9: 9 # E8: 2,8 => UNS
* INC # F9: 9 # E8: 4 => UNS
* INC # F9: 9 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for B7,F7: 9..:

* INC # B7: 9 # F2: 2,8 => UNS
* INC # B7: 9 # D3: 2,8 => UNS
* INC # B7: 9 # I2: 2,8 => UNS
* INC # B7: 9 # I2: 1,4,6 => UNS
* INC # B7: 9 # E8: 2,8 => UNS
* INC # B7: 9 # E8: 4 => UNS
* INC # B7: 9 => UNS
* INC # F7: 9 # F2: 2,8 => UNS
* INC # F7: 9 # D3: 2,8 => UNS
* INC # F7: 9 # I2: 2,8 => UNS
* INC # F7: 9 # I2: 1,4,6 => UNS
* INC # F7: 9 # E8: 2,8 => UNS
* INC # F7: 9 # E9: 2,8 => UNS
* INC # F7: 9 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for F7,F9: 9..:

* INC # F7: 9 # F2: 2,8 => UNS
* INC # F7: 9 # D3: 2,8 => UNS
* INC # F7: 9 # I2: 2,8 => UNS
* INC # F7: 9 # I2: 1,4,6 => UNS
* INC # F7: 9 # E8: 2,8 => UNS
* INC # F7: 9 # E9: 2,8 => UNS
* INC # F7: 9 => UNS
* INC # F9: 9 # F2: 2,8 => UNS
* INC # F9: 9 # D3: 2,8 => UNS
* INC # F9: 9 # I2: 2,8 => UNS
* INC # F9: 9 # I2: 1,4,6 => UNS
* INC # F9: 9 # E8: 2,8 => UNS
* INC # F9: 9 # E8: 4 => UNS
* INC # F9: 9 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for B7,B9: 9..:

* INC # B7: 9 # F2: 2,8 => UNS
* INC # B7: 9 # D3: 2,8 => UNS
* INC # B7: 9 # I2: 2,8 => UNS
* INC # B7: 9 # I2: 1,4,6 => UNS
* INC # B7: 9 # E8: 2,8 => UNS
* INC # B7: 9 # E8: 4 => UNS
* INC # B7: 9 => UNS
* INC # B9: 9 # F2: 2,8 => UNS
* INC # B9: 9 # D3: 2,8 => UNS
* INC # B9: 9 # I2: 2,8 => UNS
* INC # B9: 9 # I2: 1,4,6 => UNS
* INC # B9: 9 # E8: 2,8 => UNS
* INC # B9: 9 # E9: 2,8 => UNS
* INC # B9: 9 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for E4,E9: 5..:

* INC # E4: 5 # F2: 2,8 => UNS
* INC # E4: 5 # D3: 2,8 => UNS
* INC # E4: 5 # I2: 2,8 => UNS
* INC # E4: 5 # I2: 1,4,6 => UNS
* INC # E4: 5 # E8: 2,8 => UNS
* INC # E4: 5 # E9: 2,8 => UNS
* INC # E4: 5 => UNS
* INC # E9: 5 # F2: 2,8 => UNS
* INC # E9: 5 # D3: 2,8 => UNS
* INC # E9: 5 # I2: 2,8 => UNS
* INC # E9: 5 # I2: 1,4,6 => UNS
* INC # E9: 5 # E8: 2,8 => UNS
* INC # E9: 5 # E8: 4 => UNS
* INC # E9: 5 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for E9,F9: 5..:

* INC # E9: 5 # F2: 2,8 => UNS
* INC # E9: 5 # D3: 2,8 => UNS
* INC # E9: 5 # I2: 2,8 => UNS
* INC # E9: 5 # I2: 1,4,6 => UNS
* INC # E9: 5 # E8: 2,8 => UNS
* INC # E9: 5 # E8: 4 => UNS
* INC # E9: 5 => UNS
* INC # F9: 5 # F2: 2,8 => UNS
* INC # F9: 5 # D3: 2,8 => UNS
* INC # F9: 5 # I2: 2,8 => UNS
* INC # F9: 5 # I2: 1,4,6 => UNS
* INC # F9: 5 # E8: 2,8 => UNS
* INC # F9: 5 # E9: 2,8 => UNS
* INC # F9: 5 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED